ALGEBRAIC DYNAMICAL-APPROACH TO THE LINEAR NONAUTONOMOUS SYSTEM WITH HW(4) DYNAMICAL ALGEBRA

Authors
Citation
W. Zuo et Sj. Wang, ALGEBRAIC DYNAMICAL-APPROACH TO THE LINEAR NONAUTONOMOUS SYSTEM WITH HW(4) DYNAMICAL ALGEBRA, Helvetica Physica Acta, 70(4), 1997, pp. 578-589
Citations number
10
Categorie Soggetti
Physics
Journal title
ISSN journal
00180238
Volume
70
Issue
4
Year of publication
1997
Pages
578 - 589
Database
ISI
SICI code
0018-0238(1997)70:4<578:ADTTLN>2.0.ZU;2-J
Abstract
The exact solution and the invariant Cartan operator of the linear non autonomous system with hw(4) dynamical algebra, which describes the in teraction of a quantized radiation field with a time-dependent classic al current, are obtained by using the method of algebraic dynamics. Tw o kinds of solutions are obtained in terms of both harmonic oscillator states and coherent states. The rule (or condition) for direct quantu m-classical correspondence of the solutions has been established. It h as also been shown that algebraic dynamics can be generalized from til e linear dynamical system with a semi-simple Lie algebra to that with a general Lie algebra.